Some Generalized Trigonometric Sine Functions and Their Applications

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dc.contributor.authorWei, Dongming
dc.contributor.authorLiu, Yu
dc.date.accessioned2016-11-23T06:16:00Z
dc.date.available2016-11-23T06:16:00Z
dc.date.issued2012
dc.description.abstractIn this paper, it is shown that D. Shelupsky's generalized sine func- tion, and various general sine functions developed by P. Drabek, R. Manasevich and M. Otani, P. Lindqvist, including the generalized Ja- cobi elliptic sine function of S. Takeuchi can be defned by systems of first order nonlinear ordinary differential equations with initial condi- tions. The structure of the system of differential equations is shown to be related to the Hamilton System in Lagrangian Mechanics. Numer- ical solutions of the ODE systems are solved to demonstrate the sine functions graphically. It is also demonstrated that the some of the gen- eralized sine functions can be used to obtain analytic solutions to the equation of a nonlinear spring-mass system.ru_RU
dc.identifier.citationDongming Wei and Yu Liu; 2012; Some Generalized Trigonometric Sine Functions and Their Applications; Applied Mathematical Sciences; http://nur.nu.edu.kz/handle/123456789/1915ru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/1915
dc.language.isoenru_RU
dc.publisherApplied Mathematical Sciencesru_RU
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectgeneralized sineru_RU
dc.subjectHamilton systemru_RU
dc.subjectnonlinear springru_RU
dc.subjectvibrationru_RU
dc.subjectanalytic solutionru_RU
dc.titleSome Generalized Trigonometric Sine Functions and Their Applicationsru_RU
dc.typeArticleru_RU

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